A comparison of two physics-based numerical models for simulating surface water–groundwater interactions

Sulis, Mauro; Meyerhoff, Steven B.; Paniconi, Claudio; Maxwell, R. M.; Putti, Mario; Kollet, Stefan

doi:10.1016/j.advwatres.2010.01.010

Cited by 120 publications

(115 citation statements)

References 38 publications

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“…This boundary condition requires an iterative or a sequential computation, although the iterative one is more precise (Sulis et al, 2010). Sometimes the iterative process also leads to a discontinuity of the tangential component of the water velocity at the interface with the streambed (Discacciati et al, 2002;Miglio et al, 2003;Urquiza et al, 2008).…”

Section: Models For Simulating Stream-aquifer Interfacementioning

confidence: 99%

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

Flipo

Mouhri

Labarthe

et al. 2014

Hydrol. Earth Syst. Sci.

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Abstract. Coupled hydrological-hydrogeological models, emphasising the importance of the stream-aquifer interface, are more and more used in hydrological sciences for pluridisciplinary studies aiming at investigating environmental issues. Based on an extensive literature review, stream-aquifer interfaces are described at five different scales: local [10 cm- . This led us to develop the concept of nested stream-aquifer interfaces, which extends the well-known vision of nested groundwater pathways towards the surface, where the mixing of low frequency processes and high frequency processes coupled with the complexity of geomorphological features and heterogeneities creates hydrological spiralling. This conceptual framework allows the identification of a hierarchical order of the multi-scale control factors of stream-aquifer hydrological exchanges, from the larger scale to the finer scale. The hyporheic corridor, which couples the river to its 3-D hyporheic zone, is then identified as the key component for scaling hydrological processes occurring at the interface. The identification of the hyporheic corridor as the support of the hydrological processes scaling is an important step for the development of regional studies, which is one of the main concerns for water practitioners and resources managers.In a second part, the modelling of the stream-aquifer interface at various scales is investigated with the help of the conductance model. Although the usage of the temperature as a tracer of the flow is a robust method for the assessment of stream-aquifer exchanges at the local scale, there is a crucial need to develop innovative methodologies for assessing stream-aquifer exchanges at the regional scale. After formulating the conductance model at the regional and intermediate scales, we address this challenging issue with the development of an iterative modelling methodology, which ensures the consistency of stream-aquifer exchanges between the intermediate and regional scales.Finally, practical recommendations are provided for the study of the interface using the innovative methodology MIM (Measurements-Interpolation-Modelling), which is graphically developed, scaling in space the three pools of methods needed to fully understand stream-aquifer interfaces at various scales. In the MIM space, stream-aquifer interfaces that can be studied by a given approach are localised. The efficiency of the method is demonstrated with two examples. The first one proposes an upscaling framework, structured around river reaches of ∼ 10-100 m, from the local to the watershed scale. The second example highlights the usefulness of space borne data to improve the assessment of streamaquifer exchanges at the regional and continental scales. We conclude that further developments in modelling and field measurements have to be undertaken at the regional scale to enable a proper modelling of stream-aquifer exchanges from the local to the continental scale.

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Section: Models For Simulating Stream-aquifer Interfacementioning

confidence: 99%

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

Flipo

Mouhri

Labarthe

et al. 2014

Hydrol. Earth Syst. Sci.

View full text Add to dashboard Cite

show abstract

“…6,9a,10 and 13a). It has also been found in other studies that the common node approach delays runoff due to excess infiltration if the vertical discretization is relatively coarse (Sulis et al, 2010). As explained in Sect.…”

Section: Excess Infiltrationmentioning

confidence: 61%

“…Although the vertical discretization may affect the computed initial water content, this effect is usually negligible. It has been found in other studies that the vertical discretization has little effect on simulated runoff due to excess saturation (Kollet and Maxwell, 2006;Sulis et al, 2010).…”

Section: Excess Saturationmentioning

confidence: 99%

“…Each scenario is solved using different but uniform vertical discretizations, and z specifies the discretization of the primary grid. The first two simulation scenarios consider hillslope problems as designed by Sulis et al (2010). For the purpose of this study, a third scenario is considered in which the initial and boundary conditions are different in order to create a flooding wave across an unsaturated hillslope.…”

Section: Hillslope Scenariosmentioning

confidence: 99%

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New insights into the differences between the dual node approach and the common node approach for coupling surface–subsurface flow

Rooij

2017

Hydrol. Earth Syst. Sci.

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Abstract. The common node approach and the dual node approach are two widely applied approaches to coupling surface-subsurface flow. In this study both approaches are analyzed for cell-centered as well as vertex-centered finite difference schemes. It is shown that the dual node approach should be conceptualized and implemented as a one-sided first-order finite difference to approximate the vertical subsurface hydraulic gradient at the land surface. This results in a consistent dual node approach in which the coupling length is related to grid topology. In this coupling approach the coupling length is not to be interpreted as a nonphysical model parameter. Although this particular coupling approach is technically not new, the differences between this consistent dual node approach and the common node approach have not been studied in detail. In fact, this coupling scheme is often believed to be similar to the common node approach. In this study it is illustrated that in comparison to the common node approach, the head continuity at the surface-subsurface interface is formulated more correctly in the consistent dual node approach. Numerical experiments indicate that the consistent dual node approach is less sensitive to the vertical discretization when simulating excess infiltration. It is also found that the consistent dual node approach can be advantageous in terms of numerical efficiency.

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“…In this case, the porous medium model typically includes multiphase Darcy's law (Helmig 1997) that represents flows of several fluids or Richards' equation (1931) that describes movement of only water through saturated/unsaturated porous media. Coupling of subsurface flows described by the Richards equation and overland flows has been studied recently (Dawson 2008;Rybak et al 2015;Kollet and Maxwell 2006;Sulis et al 2010;Sochala et al 2009;Berninger et al 2014;Mosthaf et al 2011).…”

Section: Introductionmentioning

confidence: 99%

A Hyperbolic–Elliptic Model Problem for Coupled Surface–Subsurface Flow

2015

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We consider a model problem for coupled surface-subsurface flow. The model consists of a nonlinear kinematic wave equation for the surface fluid's height and a Brinkman model that governs fluid velocity and pressure for subsurface dynamics. For this coupled hyperbolic-elliptic model we establish the existence of weak solutions. The proof is based on a viscous approximation and the method of compensated compactness by virtue of appropriate energy estimates. To solve the coupled problem numerically, a finite volume method is applied. The numerical scheme is used to illustrate the influence of the Brinkman parameter on the coupled flow pattern for infiltration scenarios.

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A comparison of two physics-based numerical models for simulating surface water–groundwater interactions

Cited by 120 publications

References 38 publications

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

New insights into the differences between the dual node approach and the common node approach for coupling surface–subsurface flow

A Hyperbolic–Elliptic Model Problem for Coupled Surface–Subsurface Flow

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